Finding the Third Proportional to 86.06 and 223.78

Step by Step Solution

1. Step 1: Write the proportion equation
   86.06 : 223.78 = 223.78 : x
2. Step 2: Convert to fraction form
   86.06/223.78 = 223.78/x
3. Step 3: Cross multiply
   86.06x = 223.78 × 223.78
4. Step 4: Simplify right side
   86.06x = 50,078.05
5. Step 5: Solve for x
   x = 50,078.05/86.06
6. Step 6: Final answer
   x = 581.88